Romans Supergravity from Five-Dimensional Holograms

Abstract

We study five-dimensional superconformal field theories and their holographic dual, matter-coupled Romans supergravity. On the one hand, some recently derived formulae allow us to extract the central charges from deformations of the supersymmetric five-sphere partition function, whose large N expansion can be computed using matrix model techniques. On the other hand, the conformal and flavor central charges can be extracted from the six-dimensional supergravity action, by carefully analyzing its embedding into type I' string theory. The results match on the two sides of the holographic duality. Our results also provide analytic evidence for the symmetry enhancement in five-dimensional superconformal field theories.

Figures (4)

• Figure 1: Juxtapositions for various physical quantities in the Seiberg $E_8$ theory of results obtained by numerically computing the perturbative partition function (squares), and by the large $N$ formula (dashed line). The physical quantities considered here are the round sphere free energy $-F_0$, the conformal central charge $C_T$, the mesonic flavor central charge $C_J^{{\rm SU}(2)_{\rm M}}$, and the exceptional flavor central charge $C_J^{E_8}$. The numerical computations are done by direct integration up to $N = 3$, and by saddle point approximation up to $N = 40$.
• Figure 2: Five-dimensional infrared quiver gauge theories giving rise to orbifold superconformal field theories with even $n=2k$ and with vector structure.
• Figure 3: Five-dimensional infrared quiver gauge theories giving rise to orbifold superconformal field theories with even $n=2k$ and without vector structure.
• Figure 4: Five-dimensional infrared quiver gauge theories giving rise to orbifold superconformal field theories with odd $n=2k+1$.